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Finding the Fourth Proportional to 274,684.88, 412,212 and 97,191.20

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Solution

The fourth proportional to 274,684.88, 412,212 and 97,191.20 is: 145,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,684.88 : 412,212 = 97,191.20 : x
  2. Step 2: Convert to fraction form
    274,684.88/412,212 = 97,191.20/x
  3. Step 3: Cross multiply
    274,684.88x = 412,212 × 97,191.20
  4. Step 4: Simplify right side
    274,684.88x = 40,063,378,934.40
  5. Step 5: Solve for x
    x = 40,063,378,934.40/274,684.88
  6. Step 6: Final answer
    x = 145,852.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.